evaluation of microstructure and texture of alloy–90 sheets · 2013-05-01 · resistance at high...
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Evaluation of Microstructure and Texture of
Alloy–90 Sheets
Alapati Venkateswarlu
Research Scholar, Bhagwant University, Ajmer, India
Prof. Dr.V.K Sharma
Vice Chancellor, Bhagwant University, Ajmer, India
Dr.L.Rama Krishna
Scientist-‘E’
International Advanced Research Centre for powder Metallurgy and New Materials (ARCI),Hyderabad
Abstract - ALLOY–90 refers to a family of austenitic nickel-based super alloys. Nimonic alloys typically consist of
roughly 80% nickel and 20% chromium with additives such as titanium and aluminium. The main use is in gas
turbine blades. Nickel-based super alloys have been widely used in aircraft engines and land-based gas turbines
where high strength at elevated temperatures is required. Improved properties may be achieved by modifying alloy
chemistry and processing route. The high temperature strength of these alloys is not only a function of
microstructural changes in the material, but the result of a competition between two deformation modes, i.e. the
normal low to mid temperature tensile deformation and deformation via a creep mode. Nickel-based super alloys,
among several high temperature structural alloys, are the prime materials for numerous advanced high temperature
structural components. None of these studies have addressed the influence of microstructure and texture for ultra-
thin sheet applications. Hence, a comprehensive study has been undertaken to evaluate the ambient temperature
deformation characteristics as a function of degree of cold rolling and ageing.
Key words: Formability, Alloy 90, Impact
I. INTRODUCTION
ALLOY–90 refers to a family of austenitic nickel-based super alloys. Nimonic alloys typically consist of
roughly 80% nickel and 20% chromium with additives such as titanium and aluminium. The main use is in gas
turbine blades. Nickel-based super alloys have been widely used in aircraft engines and land-based gas turbines
where high strength at elevated temperatures is required. Due to its ability to withstand very high temperatures,
These alloys might be used in any environment that requires resistance to heat and corrosion but where the
mechanical properties of the metal must be retained. Improved properties may be achieved by modifying alloy
chemistry and processing route. The high temperature strength of these alloys is not only a function of
microstructural changes in the material, but the result of a competition between two deformation modes, i.e. the
normal low to mid temperature tensile deformation and deformation via a creep mode. Nickel-based super
alloys, among several high temperature structural alloys, are the prime materials for numerous advanced high
temperature structural components. In the past, a few attempts have been made to study the deformation
behaviour of the Nimonic 90 alloy for sheet metal applications. However, these studies were limited to different
commercial grades such as cold rolled sheets of thicknesses up to 2 mm. None of these studies have addressed
the influence of microstructure and texture for ultra-thin sheet applications.
II. SCOPE OF THE WORK
Nickel based super alloys typically have austenitic face-centered cubic (fcc) crystal structure and hence, are
expected to show low degrees of anisotropy (both in in-plane and through – thickness directions) in their
mechanical properties. However, it is recently observed that some of the newer alloys such as Nimonic alloys
exhibit considerable degree of anisotropy in mechanical propertied due to strong crystallographic texture, often
develop due to cold working [1-4]. Such anisotropy of engineering materials manifests itself as a variation in the
mechanical properties in different test directions and the same is important for the following reasons:
The Alloy-90, whose formability (drawability) is studied in the present investigation is a wrought nickel
base super alloy and derives its strength from precipitation of fine, coherent within fcc matrix. The alloy has
excellent ambient and elevated temperature deformability with good welding characteristics. Nimonic 90 is a
Nickel-Chromium-Cobalt alloy being precipitation hardenable, having high stress-rupture strength and creep
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resistance at high temperatures up to about 950°C (1740°F). It is widely used and a well proven alloy in high
temperature conditions.
III. CHEMICAL COMPOSITION OF ALLOY-90 (IT DESCRIBES THE ACTUAL COMPOSITION OF ALLOY-90 AND
OTHER ALLOYS)
Alloy Composition, in Wt. % Nickel C Si Cu Fe Mn Cr Ti Al Co Mo B Zr
Nimonic 80A 0.04 1.0 0.2 1.0 1.0 18.0 1.8 1.0 2.0 0.3 0.0015 0.04
0.10 max max max max 21.0 2.7 1.8 max max 0.005 0.10
Bal.
Nimonic 81 0.05 0.5 0.2 1.0 0.5 30.0 1.8 0.9 2.0 0.3 0.002 0.06
max max max max max max
Bal.
Alloy 90 0.05 1.5 0.2 1.0 1.0 18.0 2.0 1.15 15.0 0.3 0.0015 0.04
0.13 max max max max 21.0 2.7 1.65 18.0 max 0.005 0.10
Bal.
Table.1
IV. TYPICAL PROPERTIES OF ALLOY 90
Table-2 it describes the Typical properties of Alloy-90 are covered in the following table.
Property Metric Imperial
Density 8.18 g/cm3 0.296 lb/in
3
Melting point 1370 °C 2500 °F
Co-Efficient of Expansion 12.7 µm/m.°C
(20-100 °C)
7.1x10-6
in/in.°F
(70-212 °F)
Modulus of rigidity 82.5 kN/mm2
11966 ksi
Modulus of elasticity *213 kN/mm2 30894 ksi
**227 / 240 kN/mm2 32924 / 34810 ksi
* Solution Annealed + Aged **Spring Temper and Aged Table.2
Alloy-90 is widely used as cold rolled sheet product for a number of high temperature applications such as
aircraft turbine and land-based-turbine engine components, due to its high creep strength and superior oxidation
resistance. These applications include low-temperature combustors, transition liners and some ring components.
However some of the recent applications of Alloy-90 sheet, especially the ultra thin sheets for thermal
protection systems, need specific studies to evaluate in detail the factors that influences the cold rolling and
drawability. Effect of ageing and in-plane anisotropy are the two most critical areas, which provide the scientific
basis to this characterization. Such scientific study also acquires importance as the alloy 90 sheets are, till-date,
not studied for their drawability characteristics. Hence, the present thesis addresses these issues in detail and the
study is aimed at providing basic scientific inputs towards arriving at the solutions for alloy-90 alloy sheet for
ultra thin sheet applications. The properties evaluated in the present thesis include tensile flow behaviour in
various microstructural conditions such as Solution treated, aged for different times, apart from the
microstructure as well as texture determination. The data obtained are analyzed for anisotropy in tensile
properties (strength and ductility) and yield behaviour. The tensile properties were determined in five different
test directions, namely P (Longitudinal Direction i.e. parallel to the rolling direction), P+30º, P+45º,P+60º and
P+90º (perpendicular to the rolling direction). These data as a function of ageing and sheet thickness along with
the details of microstructure and texture, when evaluated, analyzed and obtained the relevant yield properties,
have become valuable and essential data inputs for the principal aim of the thesis, i.e. the numerical simulation
of formability in general, drawability characteristics in particular.
V. EVOLUTION OF RESEARCH IN METHODS OF DRAWING:
5.1 Deep drawing, even though is one of the most basic processes in sheet metal working, it involves very
complicated deformation mechanics. The numerical difficulty in the finite element analysis of the deep drawing
processes arises due to the existence of compressive stress in the sheet plane and the occurrence of unloading.
The drawing load increases with the punch displacement. As the punch moves, the flange part of the sheet is
drawn into the die cavity. The punch load decreases after a critical point because less resisting force to drawing
is developed in the flange. In the range of decreasing punch load, unloading occurs at the wall of a drawn cup.
Therefore, in analyzing the bending-dominant processes like deep drawing, the effect of unloading should also
be considered. The state of stress at the wall and at the flange is basically tensile stress in axial or radial
direction and compressive stress in the circumferential direction. As the sheet metal has relatively a small
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dimension in the thickness direction, the compressive stress may cause wrinkling in the actual process or
numerical buckling in simulation. The numerical buckling is the mesh buckling phenomenon occurring in the
finite element analysis at the region of high compressive stress like actual buckling.
5.2 Yield Behaviour: The yield behaviour and the characteristics that influence the yield behaviour in several
structural materials have been the subjects of scientific studies for sheet metal applications. Recent studies have
also attempted to correlate the microstructure, texture, in-plane anisotropy in yield stress and work hardening
exponent to the deep drawability. However such studies required to be conducted in case of the Nimonic 90
alloy as this particular alloy has been the prime candidate material chosen for ultra-thin sheet applications for
honeycomb structures of thermal protection systems. Nickel based super alloys typically have axi-symmetric
face-centered cubic (fcc) crystal structure and hence, are expected to be isotropic. Studies have been reported in
the literature in which these symmetric crystal structured alloys are found to exhibit high degree of isotropy in
their tensile deformation [3, 4]. However, some of the recent studies revealed especially those on Al-Li alloys
(though they too are of fcc crystal structure) have exhibited considerable degree of anisotropy in mechanical
properties due to strong crystallographic texture, often developed due to extensive cold working [2,4]. Similarly,
the ageing conditions too affect the yield behavior and also anisotropy in the yielding significantly [2]. Such an
anisotropy of engineering materials manifests itself as a variation in the mechanical properties in different test
directions and the same is important for the following reasons: (a) directionality in the properties may be
utilized to obtain improved formability; (b) service performance of a material in a particular orientation may be
selectively improved and most importantly, (c) components may become susceptible to failure in an unfavorable
direction, with catastrophic consequences. Both the aspects of yield behavior and the anisotropy can be studied
by evaluating the tensile properties in various in-plane directions, namely the longitudinal (L, along the rolling
direction) and 30°, 45° and 60° to the rolling direction, designated as L+30°, L+45° and L+60°, respectively as
well as long – transverse (LT, perpendicular to the rolling direction). Alternatively, the yield behavior can also
be studied by determining the yield loci using asymmetrical Knoop microhardness indenter. These aspects in
case of the Nimonic 90 sheet material are not studied in detail till date and hence, are the subject of present
study. In the present study, we report the tensile deformation behavior, anisotropy in tensile properties and yield
loci in addition to the microstructural and textural effects on the observed deformation behavior.
5.3 Transient flow behavior: The prominent objective of the present study is that the alloy in solution treated
condition exhibit transient flow behavior at lower strain. Such behavior has been reported earlier in several FCC
materials with low stacking fault energy such as -brass, silver and austenitic stainless steels. Ludwigson
suggested that the transient flow at low strains i.e., at the onset of plastic deformation, in low stacking materials
is associated with planar glide and leads to the formation of cell structure causing a change in macroscopic flow
behavior above a certain critical strain known as transient strain.
The stainless steels and 70-30 brass, with the lowest stacking fault energies exhibit the smallest negative values
of n2 and the largest values of transient strain, L (8-15 %). Metals with somewhat higher stacking fault
energies, namely copper and silver, exhibit more negative values of n2 and lower values of L (3%). Aluminium
and nickel, with the highest stacking fault energies in this series obey the Hollomon relation and do not exhibit
any transition in flow behaviour.
VI. AFFECT OF SPECIMEN ORIENTATION
The other aspect to be investigated in the present study is the affect of specimen orientation with respect to
rolling direction on strain hardening behavior of the alloy. Strain hardening rate, (=d /d ) versus strain plots
for the alloy in solution treated as well as aged conditions and for different specimen orientations. while the
alloy specimen with longitudinal orientation (i.e., parallel to rolling direction), exhibit marginally highest strain
hardening rates, specimen with long transverse orientation exhibits lowest strain hardening rate both in solution
treated and aged conditions. However, for all other orientations (i.e., A+30º, A+45º and A+60º), the strain
hardening rate data is fairly very close and lie in between those of longitudinal and Longitudinal Transverse
orientations. Such a behavior is consistent with the in-plane anisotropy, with regard to tensile properties.
VII. MATERIAL MODEL AND PROPERTIES OF TOOLING
In the present study, an effort will be made to comprehensively evaluate and rationalize the in-plane anisotropy
and the effect of ageing on the nature of deformation (strain hardening behaviour) and formability
characteristics, especially the limit drawing ratio and forming limit diagram. Despite weak crystallographic
texture and excellent ductility and high work hardening exponents, the alloy sheet alloy-90 exhibits significant
extent of in-plane anisotropy in its tensile properties and yield loci. The of microstructural features, mainly such
as precipitation of �’ strengthening phase obtainable by ageing after cold rolling and solutionizing, was found
not to alter the nature of deformation significantly. However the alloy in aged condition shows reduced degree
of anisotropy with significantly improved strength characteristics and moderate decrease in drawability. The
alloy under tensile deformation exhibits mixed nature of fracture, comprising of a predominant ductile micro-
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dimpled fracture with minor degree of transgranular shear fracture. Transmission electron microscopy (TEM)
will be used to examine the specimens to record the microstructural characteristics at significantly higher
magnifications. These characteristics include the nature (size and shape), distribution of strengthening
precipitates and the carbide particles with or without the details of composition.
VIII. CHEMICAL COMPOSITION OF THE EXPERIMENTAL ALLOY SHEET (TABLE-3 DESCRIBES THE MODIFIED
COMPOSITION OF ALLOY-90 SHEETS)
I. Element
C Co Cr Mo Al Si Ti Mn B P Ni
Actual Composition,
(wt. %) -
1.0 mm thick sheet
0.5 mm thick sheet0.058
0.053
15.03
15.36
18.65
18.90
0.28
0.295
1.55
1.34
1.45
1.05
2.10
2.04
0.42
0.43
0.001
0.095
0.005
0.005
Bal.
Bal
Specified composition 0.05-
0.13
15-
18
18-
21
0.3-
max
1.15-
1.65
1.5-
max
2.0-
2.7
1.0-
max
0.0015
0.005
-- Bal.
Table -3
IX. RESEARCH METHODOLOGY
The as-received material will be in the form of cold rolled and solution treated sheets of thicknesses 1 mm and
0.5 mm. The cold rolled sheets will be solution treated at 1150±10º C for 5-15 mins., followed by air cooling.
The present work aims at comprehensive evaluation of monotonic tensile deformation, work hardening and
drawability characteristics of Nimonic alloy 90 sheet. The data obtained from the monotonic tensile tests are
integrally used to determine the drawability characteristics. Transmission electron microscopy (TEM) will be
used to examine the specimens to record the microstructural characteristics at significantly higher
magnifications
The evaluation of anisotropy requires the determination of properties in various test directions. The number of
directions to be tested depends upon the product type, such as plate, sheet, extrusion, forging and castings.
Mechanical properties are generally evaluated in three orthogonal directions namely,
a. The longitudinal direction (where the stress axis is parallel to the direction of rolling,
forging etc. and designated as P in deformation studies),
b. The long transverse direction (where the stress axis is perpendicular to the direction of
rolling, forging etc and lies in the plane of rolling, forging etc designated as P+90º in
deformation studies) and
c. The short transverse direction (where the stress axis is along the thickness direction of
the product and designated as SL or ST in deformation studies).
d. For plate and sheet products, the properties in the other in-plane directions, such as
P+30º, P+45º,P+60º and P+90º (where specimen stress axis is at 30°, 45°, 60°and 90°
to the rolling direction), also become important.
The properties evaluated in the present work include tensile flow behaviour in various microstructural
conditions such as Solution treated, aged for different times, apart from the microstructure as well as texture
determination. The data obtained will be analyzed for anisotropy in tensile properties (strength and ductility)
and yield behaviour. The tensile properties will be determined in five different test directions, namely P,P+30º,
P+45º,P+60º and P+90º. These data as a function of ageing and sheet thickness along with the details of
microstructure and texture, when evaluated, analyzed and obtained the relevant yield properties, will become
valuable and essential data inputs for the principal aim of the present work, i.e. the numerical simulation of
formability in general, drawability characteristics in particular.
X. RESULTS
The alloy sheet in the as-received, i.e., solution treated and cold rolled condition was further subjected to aging
treatment at 1110 K in a vacuum furnace for different durations. Specimens for microstructure (both optical and
transmission electron microscopy), and texture evaluation, Vicker’s hardness and tensile property evaluation are
withdrawn from the vacuum heat treatment furnace after appropriate duration of ageing treatment. The
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specimens were then processed further. Based on the aging curve (variation of Vickers macro hardness with
aging time), determined and shown in Fig.1, tensile properties were evaluated on specimens from 0.5 and 1mm
thick alloy sheets that were aged at this temperature for select durations of 1, 8 and 20 hours.
The effect of ageing is discussed in terms of variation in hardness (Vickers hardness number obtained using 10
Kg load) for different ageing conditions as well as sheet thicknesses. Such variation describes the ageing
behaviour qualitatively as the time intervals are relatively larger. In both sheet thicknesses the hardness
increases significantly within 1 hour ageing at 1110 K. Such an increase is significantly higher for thinner sheet
of 0.5 mm thickness. Further ageing to 8h increases the hardness marginally (Fig. I and Table -4). Further
increase in ageing time decreases the hardness significantly. The hardness values obtained on specimens aged to
20h show a decrease in hardness values that are up to 20% lower as compared the 8h aged condition, depending
upon sheet thickness. Hence, the present nimonic alloy attains peak hardness at 8h ageing, which is designated
as peak aged condition. Limited tensile tests conducted as a function of ageing too reveal similar trends. Such
tensile data are included in Table .3 for the sake of comparison (Table-4 describes the Vickers hardness and Yield stress values of alloy 90 sheet in cold rolled + Solution treated and different aged
Conditions of 1mm and 0.5mm thickness.)
Condition
Vickers hardness number10 Yield Stress (MPa)
at = 10-4
S-1
1 mm 0.5 mm 1 mm 0.5 mm
Initial 260 290 548 689
1110 K / 1 hr 335 373 795 875
1110 K / 8 hr 349 405 835 980
1110 K / 20 hr 331 339 748 819
Table 4
Fig-I
10.1. Results of Optical microscopy
Cold rolled and Solution treated condition: The samples to be examined for optical microscopy were first
mounted in Bakelite and then polished using different grades of emery
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Fig-II.: Micrograph of alloy 90sheets in the as-received cold rolled + solution treated condition.
paper beginning with a coarse (100 grit SiC paper) and finishing with a fine size (600 grit SiC paper). After
preliminary polishing, the samples were final polished on the cloth using diamond paste. The samples were then
thoroughly cleaned using ultrasonic container, half-filled with acetone. The cleaned samples were subsequently
etched using an etchant consisting of 15 % sulphuric acid, 5%nitric acid, 15% phosphoric acid and balance
water. Fig-II shows the microstructure of the alloy sheet in the as-received solution treated condition. Though
large number of specimens were examined, the alloy’s microstructure was found to be quite uniform and it
principally consists of partially recrystallized, equi-axed grains in sheet surface and unrecrystallised grains in
sheet thickness direction with high density of annealing twins. The average grain size is approximately 30 �m
in the surface direction.
The microstructure obtained from the specimens of alloy sheets of two thicknesses in the peak aged condition
found to be almost of the same features (within the same variation as in solution treated + Cold Rolled
condition) at the optical level and hence are not reported separately.
10.2. Results of Transmission electron microscopy (TEM)
Transmission electron microscopy was used to examine the specimens to record the micro structural
characteristics at significantly higher magnifications. These characteristics include the nature (size and shape),
distribution of strengthening precipitates and the carbide particles with or without the details of composition.
The samples for TEM were thinned by polishing using various grades of emery paper to a thickness of 100 µm.
The samples were then further thinned using the twin jet polishing technique with an electrolyte of mixed acids
(lactic acid- 10%, sulphuric acid - 7%, nitric acid - 3%, hydro fluoric acid - 2% and methanol - balance, by
volume). The conditions employed for thinning were – 30 oC and 25 V. The thinned foils were examined in EM
430 T and JEOL transmission electron microscopes.
Transmission electron micrographs, given in Figs. III.3 – III.5 show the finer micro structural details of the
alloy sheet of 1mm thickness in the as-received, i.e, solution treated and cold rolled condition (The features are
similar for 0.5mm thick sheet). The TEM bright field micrograph (Fig. III.3a) and the corresponding selected
area diffraction pattern (Fig. III.3b) show that the matrix of the present Nimonic sheet does not contain any
detectable levels of strengthening precipitates in the Solution Treated condition. However, the alloy sheet does
exhibit the presence of reasonable high density of dislocations (Fig. III.3c).
The alloy sheet in the solution treated condition was found to contain significant amounts of two kinds of
carbide particles. The first set of the carbides (Fig. III.4) are cubic in shape and have a definite face centered
cubic (FCC) crystal structure with an average lattice parameter of 4.37 A°. These carbide particles have an
average size of 80 nm. The second type of carbide particles that are found to be present in the alloy sheet in the
ST condition (Fig. III.5a) are angular in shape and are relatively coarser (average size is 160-180 nm) as
compared to the first set of carbides. The selected area diffraction pattern obtained shows that these carbide
particles (Fig. III.5a) too have FCC crystals structure with an average lattice parameter of 4.36 A°.
The energy dispersive X-ray spectrum (EDXS) obtained from these carbide particles (Fig. III.5a) clearly
shows that the carbides contain Ti and Mo elements as major constituents. The analysis of chemical composition
and crystal structure indicate that these particles could be of MC type, i.e., [(Ti,Mo)C]. Further, a small increase
in the observed lattice parameter of 4.36 A° as compared to reported theoretical lattice parameter of TiC
particles (4.3178 A°) clearly indicates that these MC type carbide particles contain significant amounts of Mo in
the Ti lattice sites of the FCC crystal.
m
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Fig. III.3: (a) TEM bright field image showing matrix structure in <100> orientation.
(b) Selected area electron diffraction pattern matrix. The diffraction pattern indicates the absence of �’ phase. (c) TEM bright field image
showing dislocation substructure observed in the matrix
200 nm
b
200 nm
a
50 nm
a
000
020
220
200
b
200 nm
c
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The studies conducted on the optical micrography of the aged specimens of the alloy sheet reveal no observable
diffraction in the microstructures that is shown in Fig. III.2. However, at the higher magnification obtainable by
transmission electron micrography, the alloy sheet in the 8h aged condition was found to contain large volume
fraction of uniformly distributed �’ precipitates (Fig. III.6).
111
111 200
000
c
Energy, keV
Arb
itra
ry u
nit
s
a
Fig. III.4: (a) and (b) TEM bright field and dark field images showing carbide particles respectively. (c) Selected area electron
diffraction pattern obtained form the carbide particle [arrow marked in (a)], representing [011] zone axis of the FCC crystal structure,
with an average lattice parameter ao = 4.37 A°.
Fig. III.5: (a) Energy dispersive X-ray spectrum collected from the particle indicating that the carbide contains Ti and Mo as major elements. The chemical
composition and crystal structure indicates that these carbide particles could be of MC type [(Ti,Mo)C]. The theoretical lattice parameter of TiC is 4.3178
A°. The small increase in lattice parameter can be attributed to the induction of Mo into the TiC.
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300 nm
a
000
220
202
202
b
Fig. III.6: (a) TEM bright field image showing �’ precipitates in <111> and <100> of matrix orientations respectively after ageing at
1110K/8h. (b) Selected area electron diffraction patterns corresponds to Fig. (a). The super lattice reflection in the diffraction patterns
corresponding to �’ precipitates in the matrix.
600 nm
a
Energy, keV
b
Inte
nsi
ty, ar
bit
rary
un
its
Energy, keV
c
Inte
nsi
ty, ar
bit
rary
unit
s
Fig. III.7: (a) TEM bright field images showing M23C6 type carbides at the grain boundaries and twin boundaries, respectively. MC type carbide (arrow
marked in Fig. (a)) also observed in the matrix, which is similar to that observed in the as solution treated condition.(c) Energy Dispersive X-ray Spectrum
(EDXS) obtained from the grain boundary precipitates showing Cr enrichment. (c) EDXS obtained from the MC type particle (arrow marked in Fig. (a) ) in
the matrix showing Ti enrichment.
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The TEM bright field micrography in the two matrix crystal orientations of <111> and <100> (Fig. III.6 a and c)
clearly show that the �’ precipitates are spherical in shape and are in the size range of 20-30 nm. A comparison
of the selected area diffraction (SAD) patterns obtained from these �’ precipitates in <111> and <100> matrix
crystallographic orientations (Fig. III.6 b and d respectively). With these reported for �’ precipitates clearly
show a one-to-one correspondence, confirming that the strengthening that occurs in the present nimonic alloy is
primarily due to the �’ precipitates. The presence of jointly appearing super lattice reflections (appearing as in a
circular fashion around the central 000 diffraction spot and the 202, 220 and 202 diffraction spots in Fig. III.6
(b) and (d) clearly indicate that the �’ precipitates are highly coherent and ordered.
Just as in cold rolled + solution treated condition, the alloy sheet in 8h aged condition too reveals the presence
MC type carbides with Ti enrichment. These carbides are arrow marked in Fig. III.7 (a) and appear to be
significantly coarser 1-500 nm and spherical as compared to those in the solution treated condition (see the MC
carbides in Fig. III.5). Further, the alloy sheet in the aged condition found to posses significantly larger amounts
of M23C6 type of carbides along in the grain and twin boundaries (Fig. III.7 a ). These finer carbide particles
were observed through EDXS (Fig. III.7 b) is found to be Cr – enriched in contrast to the Ti – enrichment in the
coarser MC carbides (Fig. III.7 c).
XI. CONCLUSION
Finally The finite element simulation of drawability characteristics, namely limit drawing ratio and forming
limit diagram of alloy 90 using the explicit dynamic analysis code LSDYNA, will be evaluated and reported.
The selection of finite element model, material models (blank, punch and die) and the properties required for the
numerical simulation will be described. Numerical simulations are carried out iteratively to find out the limit
strains of the Nimonic 90 alloy sheet of 1 mm thickness in peak aged conditions and forming limit curves are
determined. Finally, the procedure is validated with the analytical formulae developed using vertex theory.
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